If you are searching digital vesions of newspapers, you my want to browse the images for the time period of interest. If the paper was a weekly, do they have an issue for every week? If it was daily, do they have an issue for every day? Missing issues may not be clearly indicated on the website, but that is something you need to know. That's especially true if your relative died on 18 May 1902 and there are no issues from the last half of May of that year.
It may be that there are issues in libraries or other facilities.